Comparison of some robust Wilks’ statistics for the one-way multivariate analysis of variance (MANOVA)‎

Other Title(s)

مقارنة بين بعض إحصاءات ويلكس الحصينة في تحليل التباين المتعدد المتغيرات في اتجاه واحد

Joint Authors

Amin, Abd Allah Abd al-Qadir
Abbas, Usamah Hadi

Source

al-Qadisiyah Journal for Computer Science and Mathematics

Issue

Vol. 11, Issue 2 (30 Jun. 2019), pp.42-58, 17 p.

Publisher

University of al-Qadisiyah College of computer Science and Information Technology

Publication Date

2019-06-30

Country of Publication

Iraq

No. of Pages

17

Main Subjects

Mathematics

Abstract EN

The classical Wilks' statistic is mostly used to test hypotheses in the one-way multivariate analysis of variance (MANOVA), which is highly sensitive to the effects of outliers.

The non-robustness of the test statistics based on normal theory has led many authors to examine various options.

In this paper, we presented a robust version of the Wilks' statistic and constructed its approximate distribution.

A comparison was made between the proposed statistics and some Wilks' statistics.

The Monte Carlo studies are used to obtain performance assessment of test statistics in different data sets.

Moreover, the results of the type I error rate and the power of test were considered as statistical tools to compare test statistics.

The study reveals that, under normally distributed, the type I error rates for the classical and the proposed Wilks' statistics are close to the true significance levels, and the power of the test statistics are so close.

In addition, in the case of contaminated distribution, the proposed statistic is the best.

American Psychological Association (APA)

Amin, Abd Allah Abd al-Qadir& Abbas, Usamah Hadi. 2019. Comparison of some robust Wilks’ statistics for the one-way multivariate analysis of variance (MANOVA). al-Qadisiyah Journal for Computer Science and Mathematics،Vol. 11, no. 2, pp.42-58.
https://search.emarefa.net/detail/BIM-883435

Modern Language Association (MLA)

Amin, Abd Allah Abd al-Qadir& Abbas, Usamah Hadi. Comparison of some robust Wilks’ statistics for the one-way multivariate analysis of variance (MANOVA). al-Qadisiyah Journal for Computer Science and Mathematics Vol. 11, no. 2 (2019), pp.42-58.
https://search.emarefa.net/detail/BIM-883435

American Medical Association (AMA)

Amin, Abd Allah Abd al-Qadir& Abbas, Usamah Hadi. Comparison of some robust Wilks’ statistics for the one-way multivariate analysis of variance (MANOVA). al-Qadisiyah Journal for Computer Science and Mathematics. 2019. Vol. 11, no. 2, pp.42-58.
https://search.emarefa.net/detail/BIM-883435

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references : p. 57

Record ID

BIM-883435